A charge of 140 µC is at thecenter of a cube of edge 90.0 cm. Noother charges ar

Question

A charge of 140 µC is at thecenter of a cube of edge 90.0 cm. Noother charges are nearby. (a) Find the flux through the whole surface ofthe cube.
1 N ·m2/C

(b) Find the flux through each face of the cube.
2 N ·m2/C

(c) Would your answers to parts (a) or (b) change if the chargewere not at the center? (Select all that apply.) 3 (a) would change
(b) would change
neither would change


Explain your answer.
4 (a) Find the flux through the whole surface ofthe cube.
1 N ·m2/C

(b) Find the flux through each face of the cube.
2 N ·m2/C

(c) Would your answers to parts (a) or (b) change if the chargewere not at the center? (Select all that apply.) 3 (a) would change
(b) would change
neither would change


Explain your answer.
4 3 (a) would change
(b) would change
neither would change
3 (a) would change
(b) would change
neither would change
3

Explanation / Answer

By Gauss' Law the total flux thru the cube is = Q /0 This does not depend on the size of the cube (surface) Then by symmetry the flux thru each surface iss = Q /(6 0) If the charge were moved away from the center then moreflux would pass thru the surfaces nearer to the charge ( is proportional to E and A, and E would larger for thesurfaces nearer to the charge) However, Gauss still holds for the total flux thru the entireclosed surface. This does not depend on the size of the cube (surface) Then by symmetry the flux thru each surface iss = Q /(6 0) If the charge were moved away from the center then moreflux would pass thru the surfaces nearer to the charge ( is proportional to E and A, and E would larger for thesurfaces nearer to the charge) However, Gauss still holds for the total flux thru the entireclosed surface.

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